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A ball rolls down an inclined plane, fig...

A ball rolls down an inclined plane, figure. The ball is first released from rest from `P` and then later from `Q`.
Which of the following statement is//are correct ?
.
(i) The ball takes twice as much time to roll from `Q` to `O` as it does to roll from `P` to `O`.
(ii) The acceleration of the ball at `Q` is twice as large as the acceleration at `P`.
(iii) The ball has twice as much `K.E` at `O` when rolling from `Q` as it does when rolling from `P`.

A

(i), (ii) only

B

(ii), (iii) only

C

(i) only

D

(iii) only

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Since both the ball with have same acceleration
`t = sqrt((2s)/(a))` so `(t_(Q))/(t_(P)) = sqrt((2)/(1))`
(ii) From energy conservation `KE_(Q) = 2 KE_(P)`.
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